3 mep y9 practice book a and in general a n 1 an for

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: integer values of n. The three rules at the start of section 3.2 can now be used for any integers m and n, not just for positive values. Example 1 Calculate, leaving your answers as fractions: (a) 3 −2 (b) 2 −1 − 4 −1 (b) 6 4 × 6 −3 5 −3 (c) Solution 1 32 1 = 9 (a) 3 −2 = (b) 2 −1 − 4 −1 = (c) 5 −3 = 11 − 24 1 = 4 1 53 1 = 125 Example 2 Simplify: (a) 67 69 Solution (a) 67 = 67−9 9 6 = 6 −2 = (b) 1 1 = 2 36 6 6 4 × 6 − 3 = 6 4 + ( − 3) = 6 4 − 3 = 61 = 6 46 (c) (10 ) 2 −3 MEP Y9 Practice Book A (c) (10 ) 2 −3 = 10 − 6 = 1 10 6 = 1 1000 000 Exercises 1. Write the following numbers as fractions without using any indices: (a) (b) 2 −3 (c) 10 − 3 (d) 2. 4 −1 7 −2 (e) 4 −3 (f) 6 −2 Copy the following expressions and fill in the missing numbers: (a) (b) 1 1 = 100 10 (c) 1 1 = =9 81 9 (d) 1 1 = =2 16 2 (e) 3. 1 1 = =7 49 7 1 1 = 10 000 000 10 (f) 1 1 = =2 1024 2 = 10 Calculate: (a) 4 −1 + 3 −1 (b) 6 −1 + 2 −1 (c) 5 − 1 − 10 − 1 (d) 10 − 2 − 10 − 3 (e) 4. = 10 4 − 1 − 10 − 1 (f) 6 −1 + 7 −1 Simplify the following expressions giving your answers in the form of a number to a power: (a) 4 7 × 4 −6 (b) 5 7 × 5 −3 (c) 74 7 −6 (d) (3 ) (e) (6 ) (f) 8 4 × 8 −9 (g) 72 7 −2 (h) 89 8 −9 −2 −3 47 2 −4 3.3 MEP Y9 Practice Book A 5. Copy each of the following expressions and fill in the missing numbers; (a) (b) 1 = 10 100 (c) 1 =5 125 (d) 5 =5 54 (e) 6. 1 =3 9 62 =6 63 (f) 22 =2 2 10 Simplify the following expressions: (a) (b) x7 x9 (c) x4 x8 (d) (x ) (e) 7. x8 x3 1 2 x (f) (x ) 4 6 −8 −4 3 Copy and complete the following statements: (a) (b) 0.25 = 2 (c) 0.0001 = 10 (d) 0.2 = 5 (e) 8. 0.1 = 10 0.001 = 10 (f) 0.02 = 50 Copy the following expressions and fill in the missing numbers: x4 (a) = x2 (b) x6× x = x2 x (c) x9× x = x2 (d) x7 = x −2 x (e) x3 = x4 (f) x 48 (x ) 3 = x−6 MEP Y9 Practice Book A 9. Copy the following expressions and fill in the missing numbers: (a) (b) 1 =5 25 (c) 10. 1 =2 8 1 =9 81 (d) 1 = 10 10 000 1 , express a as a power of c, withou...
View Full Document

This document was uploaded on 03/03/2014 for the course O-LEVEL Mathematic at Beaconhouse School System.

Ask a homework question - tutors are online